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Inequalities for Sides and Angles of a Triangle Section 5-3.

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Presentation on theme: "Inequalities for Sides and Angles of a Triangle Section 5-3."— Presentation transcript:

1 Inequalities for Sides and Angles of a Triangle Section 5-3

2 Exterior Angle Inequality Thm. If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles. 4 3 2 1

3 Theorem 5-9 If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side. 100 30 4 9

4 Theorem 5-10 If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle. If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.

5 Joke Time What do clowns do after April 30 th ? What do clowns do after April 30 th ?Ma-trix

6 What do you get when you add 50 female pigs and 50 male deer? What do you get when you add 50 female pigs and 50 male deer? $100,000 (100 sows ‘an bucks)


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